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Simplifying 6r = 5(1 + 2r) + -11 6r = (1 * 5 + 2r * 5) + -11 6r = (5 + 10r) + -11 Reorder the terms: 6r = 5 + -11 + 10r Combine like terms: 5 + -11 = -6 6r = -6 + 10r Solving 6r = -6 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 6r + -10r = -6 + 10r + -10r Combine like terms: 6r + -10r = -4r -4r = -6 + 10r + -10r Combine like terms: 10r + -10r = 0 -4r = -6 + 0 -4r = -6 Divide each side by '-4'. r = 1.5 Simplifying r = 1.5
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